A solution of the strong CP problem via the Peccei-Quinn mechanism through the Nieh-Yan modified gravity and cosmological implications

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The signature throughout the paper is ( + , − , − , − ) (+,-,-,-) with ϵ 0123 = 1 \epsilon_{0123}=1 . For convenience, we set ℏ = c = k B = 1 \hbar=c=k_{B}=1 and 8 π G = k 8\pi G=k